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Finding the Third Proportional to 611,685 and 1,266,381

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Solution

The third proportional to 611,685 and 1,266,381 is: 2,621,808.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,685 : 1,266,381 = 1,266,381 : x
  2. Step 2: Convert to fraction form
    611,685/1,266,381 = 1,266,381/x
  3. Step 3: Cross multiply
    611,685x = 1,266,381 × 1,266,381
  4. Step 4: Simplify right side
    611,685x = 1,603,720,837,161
  5. Step 5: Solve for x
    x = 1,603,720,837,161/611,685
  6. Step 6: Final answer
    x = 2,621,808.34

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.